10301289152 has 224 divisors, whose sum is σ = 26322430464. Its totient is φ = 3883622400.

The previous prime is 10301289149. The next prime is 10301289161. The reversal of 10301289152 is 25198210301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10301289152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36659252 + ... + 36659532.

Almost surely, 2^10301289152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161215232).

10301289152 is an abundant number, since it is smaller than the sum of its proper divisors (16021141312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10301289152 is a wasteful number, since it uses less digits than its factorization.

10301289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

Adding to 10301289152 its reverse (25198210301), we get a palindrome (35499499453).

The spelling of 10301289152 in words is "ten billion, three hundred one million, two hundred eighty-nine thousand, one hundred fifty-two".